Finding the Third Proportional to 83,002 and 124,585

Step by Step Solution

1. Step 1: Write the proportion equation
   83,002 : 124,585 = 124,585 : x
2. Step 2: Convert to fraction form
   83,002/124,585 = 124,585/x
3. Step 3: Cross multiply
   83,002x = 124,585 × 124,585
4. Step 4: Simplify right side
   83,002x = 15,521,422,225
5. Step 5: Solve for x
   x = 15,521,422,225/83,002
6. Step 6: Final answer
   x = 187,000.58